1. **Problem Statement:** You purchased ingredients for $x,000 JMD and sell prepared meals for $y,500 JMD. Calculate the percentage profit made. 2. **Formula for Profit and Percentage Profit:** Profit = Selling Price - Cost Price Percentage Profit = $\frac{\text{Profit}}{\text{Cost Price}} \times 100\%$ 3. **Step-by-step Calculation:** - Cost Price = $x,000 JMD = $1000x$ JMD - Selling Price = $y,500 JMD = $1000y + 500$ JMD 4. Calculate Profit: $$\text{Profit} = (1000y + 500) - 1000x = 1000y + 500 - 1000x$$ 5. Calculate Percentage Profit: $$\text{Percentage Profit} = \frac{1000y + 500 - 1000x}{1000x} \times 100 = \left(\frac{1000y + 500 - 1000x}{1000x}\right) \times 100$$ 6. Simplify the fraction inside: $$= \left(\frac{1000y - 1000x + 500}{1000x}\right) \times 100 = \left(\frac{1000(y - x) + 500}{1000x}\right) \times 100$$ 7. Split the fraction: $$= \left(\frac{1000(y - x)}{1000x} + \frac{500}{1000x}\right) \times 100 = \left(\frac{y - x}{x} + \frac{1}{2x}\right) \times 100$$ 8. Final formula for percentage profit: $$\text{Percentage Profit} = \left(\frac{y - x}{x} + \frac{1}{2x}\right) \times 100\%$$ This formula allows you to calculate the percentage profit based on your cost and selling price variables $x$ and $y$. **Final answer:** Percentage profit made is $$\left(\frac{y - x}{x} + \frac{1}{2x}\right) \times 100\%$$.